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145023400 = 23526611097
BaseRepresentation
bin10001010010011…
…10000110101000
3101002212221201001
420221032012220
5244111222100
622220204344
73410451514
oct1051160650
9332787631
10145023400
1174953255
12406996b4
1324078982
1415391144
15cae9d6a
hex8a4e1a8

145023400 has 48 divisors (see below), whose sum is σ = 337997340. Its totient is φ = 57868800.

The previous prime is 145023397. The next prime is 145023407. The reversal of 145023400 is 4320541.

145023400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 58644964 + 86378436 = 7658^2 + 9294^2 .

It is not an unprimeable number, because it can be changed into a prime (145023407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131652 + ... + 132748.

Almost surely, 2145023400 is an apocalyptic number.

145023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145023400 is an abundant number, since it is smaller than the sum of its proper divisors (192973940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145023400 is a wasteful number, since it uses less digits than its factorization.

145023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 145023400 is about 12042.5661717094. The cubic root of 145023400 is about 525.3870464088.

Adding to 145023400 its reverse (4320541), we get a palindrome (149343941).

The spelling of 145023400 in words is "one hundred forty-five million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 661 1097 1322 2194 2644 3305 4388 5288 5485 6610 8776 10970 13220 16525 21940 26440 27425 33050 43880 54850 66100 109700 132200 219400 725117 1450234 2900468 3625585 5800936 7251170 14502340 18127925 29004680 36255850 72511700 145023400